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In: Physics

You are give a system about which two things are known: the relation between pressure, volume...

You are give a system about which two things are known: the relation between pressure,

volume and temperature, and the heat capacity at constant volume (α is a constant) PV^3=αT; CV =A(V)T

Please
(a) Find the derivative of entropy with respect to volume at fixed T

(b) Show that the coefficient A(V ) in the specific heat is independent of V

(c) Find S(T,V) in terms of the (assumed known) value S0 of the entropy at a given temperature and volume T0, V0, S0 = S(T0, V0).

(d) Find the heat capacity at constant pressure

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